Copyright 2003
Coaching Pitchers
By Michael G. Marshall, Ph.D.

     Chapter Twenty-Six:   Pitch Sequence Study

     While researchers generally require minimum sample sizes of twenty-five subjects, for this study, I had to accept minimum sample sizes of ten subjects.   I use asterisks (*) to indicate sample sizes less than ten subjects.   When I place asterisks beside batting averages and on base percentages, readers should recognize that I cannot confidently interpret that data cell.

         a.   Left-Handed Spray Hitters

                    Table 26.1:   Left-Handed Spray Hitter One Pitch At Bats
                 |----------------------------------------------------|
                 |    Fastball     |     Slider      |    Screwball   |
|---------------------------------------------------------------------|
|1 Pitch At Bats |      .286       |      .345       |      .250      |
|---------------------------------------------------------------------|

     When left-handed spray hitters correctly anticipated first pitch fastballs, sliders and screwballs, they batted .286, .345 and .250, respectively.   Therefore, I should throw first pitch screwballs.

                    Table 26.2:   Left-Handed Spray Hitter One Pitch Sequence
                 |----------------------------------------------------|
                 |    Fastball     |     Slider      |    Screwball   |
|---------------------------------------------------------------------|
|1st Pitch Select|      .232       |      .224       |      .243      |
|---------------------------------------------------------------------|

     When left-handed spray hitters did not correctly anticipate first pitch fastballs, sliders and screwballs, their at bat resulted in .232, .224 and .243 batting averages, respectively.   Therefore, I must throw first pitches to left-handed spray hitters that they do not correctly anticipate.

                    Table 26.3:   Left-Handed Spray Hitter Two Pitch At Bats
                 |----------------------------------------------------|
                 |    Fastball     |     Slider      |    Screwball   |
                 | FB  | SL  | Sc  | FB  | SL  | Sc  | FB  | SL  | Sc |
|---------------------------------------------------------------------|
|2 Pitch At Bats |.200*|.133 |.400*|.333*|.143*|.125*|.357 |.333*|.381|
|---------------------------------------------------------------------|

     When, after first pitch fastballs, left-handed spray hitters correctly anticipate second pitch fastballs, sliders and screwballs, they batted .200*, .133 and .400*, respectively.   Therefore, after first pitch fastballs (.133), I should throw second pitch sliders.

     When, after first pitch sliders, left-handed spray hitters correctly anticipate second pitch fastballs, sliders and screwballs, they batted .333*, .143* and .125*, respectively.   Unfortunately, the small sample sizes prevent meaningful interpretation.

     When, after first pitch screwballs, left-handed spray hitters correctly anticipate second pitch fastballs, sliders and screwballs, they batted .357, .333* and .381, respectively.   While I cannot meaningfully interpret the first pitch slider, second pitch screwball two pitch sequence, I should never throw first pitch screwballs.

                    Table 26.4:   Left-Handed Spray Hitter Two Pitch Sequences
                 |----------------------------------------------------|
                 |    Fastball     |     Slider      |    Screwball   |
                 | FB  | SL  | Sc  | FB  | SL  | Sc  | FB  | SL  | Sc |
|---------------------------------------------------------------------|
|1st/2nd Pitches |.241 |.381 |.100 |.267 |.333 |.148 |.200 |.077 |.269|
|---------------------------------------------------------------------|

     When, after first pitch fastballs, left-handed spray hitters do not correctly anticipate second pitch fastballs, sliders and screwballs, their at bat resulted in .241, .381 and .100 batting averages, respectively.   Therefore, after first pitch fastballs, I should throw second pitch screwballs.   However, the two pitch at bat results indicate that, after first pitch fastballs, I should throw second pitch sliders (.133).   To resolve this apparent conflict, I need to examine the (FB:SL) and (FB:Sc) first and second pitch selections in the three pitch sequences.

     When, after first pitch sliders, left-handed spray hitters do not correctly anticipate second pitch fastballs, sliders and screwballs, they batted .267, .333 and .148, respectively.   Therefore, after first pitch sliders, I should throw second pitch screwballs.   The two pitch at bat results concur.   To confirm, I need to examine the (SL:Sc) first and second pitch selections in the three pitch sequences.

     When, after first pitch screwballs, left-handed spray hitters did not correctly anticipate second pitch fastballs, sliders and screwballs, they batted .200, .077 and .269, respectively.   Therefore, after first pitch screwballs, I should throw second pitch sliders.   The two pitch at bat results concur.   To confirm, I need to examine the (Sc:SL) first and second pitch selections in the three pitch sequences.

                    Table 26.5:   Left-Handed Spray Hitter Three Pitch Sequences
|---------------------------------------------------------------------|
| 1st, 2nd and 3rd Pitch Selections | #  | Batting Ave  |  On Base %  |
|---------------------------------------------------------------------|
|1.  Fastball:Fastball:Fastball     | 28 |     .200     |     .250    |
|2.  Fastball:Fastball:Slider       |  5*|     .250     |     .250    |
|3.  Fastball:Fastball:Screwball    |  5*|     .400     |     .400    |
|---------------------------------------------------------------------|
|4.  Fastball:Slider:Fastball       |  9*|     .375     |     .444    |
|5.  Fastball:Slider:Slider         |  6*|     .333     |     .333    |
|6.  Fastball:Slider:Screwball      |  8*|     .429     |     .500    |
|---------------------------------------------------------------------|
|7.  Fastball:Screwball:Fastball    | 11 |     .182     |     .182    |
|8.  Fastball:Screwball:Slider      |  1*|     .000     |     .000    |
|9.  Fastball:Screwball:Screwball   |  1*|     .000     |     .273    |
|---------------------------------------------------------------------|
|---------------------------------------------------------------------|
|10.  Slider:Fastball:Fastball      | 10 |     .444     |     .500    |
|11.  Slider:Fastball:Slider        | 13 |     .200     |     .273    |
|12.  Slider:Fastball:Screwball     | 13 |     .200     |     .385    |
|---------------------------------------------------------------------|
|13.  Slider:Slider:Fastball        | 10 |     .375     |     .500    |
|14.  Slider:Slider:Slider          |  9*|     .250     |     .333    |
|15.  Slider:Slider:Screwball       |  2*|     .500     |     .500    |
|---------------------------------------------------------------------|
|16.  Slider:Screwball:Fastball     | 18 |     .188     |     .235    |
|17.  Slider:Screwball:Slider       |  4*|     .000     |     .000    |
|18.  Slider:Screwball:Screwball    |  6*|     .200     |     .333    |
|---------------------------------------------------------------------|
|---------------------------------------------------------------------|
|19.  Screwball:Fastball:Fastball   | 24 |     .150     |     .227    |
|20.  Screwball:Fastball:Slider     | 17 |     .231     |     .412    |
|21.  Screwball:Fastball:Screwball  | 17 |     .250     |     .250    |
|---------------------------------------------------------------------|
|22.  Screwball:Slider:Fastball     | 11 |     .000     |     .000    |
|23.  Screwball:Slider:Slider       | 11 |     .000     |     .000    |
|24.  Screwball:Slider:Screwball    | 10 |     .000     |     .000    |
|---------------------------------------------------------------------|
|25.  Screwball:Screwball:Fastball  | 26 |     .217     |     .308    |
|26.  Screwball:Screwball:Slider    |  9*|     .000     |     .222    |
|27.  Screwball:Screwball:Screwball | 40 |     .351     |     .400    |
|---------------------------------------------------------------------|

     When, after (FB:Sc), I threw third pitch fastballs, sliders and screwballs, left-handed spray hitters batted .182, .000* and .000*, respectively.   Therefore, I should more frequently throw the (FB:Sc:SL) and the (FB:Sc:Sc) three pitch sequences.

     When, after (SL:Sc), I threw third pitch fastballs, sliders and screwballs, left-handed spray hitters batted .188, .000* and .200*, respectively.   Therefore, I should more frequently throw the (SL:Sc:SL) and the (SL:Sc:Sc) three pitch sequences.

     When, after (Sc:SL), I threw third pitch fastballs, sliders and screwballs, left-handed spray hitters batted .000, .000 and .000, respectively.   Therefore, I should more frequently throw the (Sc:SL:FB), the (Sc:SL:SL) and the (Sc:SL:Sc) three pitch sequences.

                    Table 26.6:   Good Left-Handed Spray Hitter Three Pitch Sequences
|---------------------------------------------------------------------|
| 1st, 2nd and 3rd Pitch Selections | #  | Batting Ave  |  On Base %  |
|---------------------------------------------------------------------|
|01.  Fastball:Fastball:Fastball    | 28 |     .200     |     .250    |
|02.  Fastball:Screwball:Fastball   | 11 |     .182     |     .182    |
|---------------------------------------------------------------------|
|03.  Slider:Fastball:Slider        | 13 |     .200     |     .273    |
|04.  Slider:Screwball:Fastball     | 18 |     .188     |     .235    |
|05.  Slider:Screwball:Slider       |  4*|     .000     |     .000    |
|---------------------------------------------------------------------|
|06.  Screwball:Fastball:Fastball   | 24 |     .150     |     .227    |
|07.  Screwball:Slider:Fastball     | 11 |     .000     |     .000    |
|08.  Screwball:Slider:Slider       | 11 |     .000     |     .000    |
|09.  Screwball:Slider:Screwball    | 10 |     .000     |     .000    |
|10.  Screwball:Screwball:Slider    |  9*|     .000     |     .222    |
|---------------------------------------------------------------------|
         b.   Left-Handed Pull Hitters

                    Table 26.7:   Left-Handed Pull Hitter One Pitch At Bats
                 |----------------------------------------------------|
                 |    Fastball     |     Slider      |    Screwball   |
|---------------------------------------------------------------------|
|1 Pitch At Bats |      .000*      |      .286*      |      .444      |
|---------------------------------------------------------------------|

     When left-handed pull hitters correctly anticipate first pitch fastballs, sliders and screwballs, they batted .000*, .286* and .444, respectively.   Therefore, I should throw first pitch fastballs.

                    Table 26.8:   Left-Handed Pull Hitter One Pitch Sequence
                 |----------------------------------------------------|
                 |    Fastball     |     Slider      |    Screwball   |
|---------------------------------------------------------------------|
|1st Pitch Select|      .190       |      .200       |      .172      |
|---------------------------------------------------------------------|

     When left-handed pull hitters did not correctly anticipate first pitch fastballs, sliders and screwballs, they batted .190, .200 and .172, respectively.   Therefore, I must throw left-handed pull hitters first pitches that they do not correctly anticipate.

                    Table 26.9:   Left-Handed Pull Hitter Two Pitch At Bats
                 |----------------------------------------------------|
                 |    Fastball     |     Slider      |    Screwball   |
                 | FB  | SL  | Sc  | FB  | SL  | Sc  | FB  | SL  | Sc |
|---------------------------------------------------------------------|
|2 Pitch At Bats | --- |.000*|.000*| --- |.000*| --- | --- .500*|.429*|
|---------------------------------------------------------------------|

     With insufficient sample sizes, I cannot interpret this data.

                    Table 26.10:   Left-Handed Pull Hitter Two Pitch Sequences
                 |----------------------------------------------------|
                 |    Fastball     |     Slider      |    Screwball   | 
                 | FB  | SL  | Sc  | FB  | SL  | Sc  | FB  | SL  | Sc | 
|---------------------------------------------------------------------|
|1st/2nd Pitches |.286 |.000*|.333*|.250 |.200*|.200 |.240 |.067 |.097|
|---------------------------------------------------------------------|

     When, after first pitch fastballs, left-handed pull hitters do not correctly anticipate second pitch fastballs, sliders and screwballs, they batted .286, .000* and .333*, respectively.   Therefore, after first pitch fastballs, I should throw second pitch sliders.   To confirm, I need to examine the (FB:SL) first and second pitch selections in the three pitch sequences.

     When, after first pitch sliders, left-handed pull hitters do not correctly anticipate second pitch fastballs, sliders and screwballs, they batted .250, .200* and .200, respectively.   Therefore, after first pitch sliders, I should throw second pitch sliders or screwballs.   To determine which first and second pitch selections are better, I need to examine the (SL:SL) and (SL:Sc) first and second pitch selections in the three pitch sequences.

     When, after first pitch screwballs, left-handed pull hitters do not correctly anticipate second pitch fastballs, sliders and screwballs, they batted .240, .067 and .097, respectively.   Therefore, after first pitch screwballs, I should throw second pitch sliders.   To confirm, I need to examine the (Sc:SL) first and second pitch selections in the three pitch sequences.

                    Table 26.11:   Left-Handed Pull Hitter Three Pitch Sequences
|---------------------------------------------------------------------|
| 1st, 2nd and 3rd Pitch Selections | #  | Batting Ave  |  On Base %  |
|---------------------------------------------------------------------|
|1.  Fastball:Fastball:Fastball     |  8*|     .250     |     .571    |
|2.  Fastball:Fastball:Slider       |  1*|     .000     |     .000    |
|3.  Fastball:Fastball:Screwball    |  2*|     .500     |     .500    |
|---------------------------------------------------------------------|
|4.  Fastball:Slider:Fastball       |  1*|     .000     |     .000    |
|5.  Fastball:Slider:Slider         |  0*|      ---     |      ---    |
|6.  Fastball:Slider:Screwball      |  3*|     .000     |     .333    |
|---------------------------------------------------------------------|
|7.  Fastball:Screwball:Fastball    |  1*|     .000     |     .000    |
|8.  Fastball:Screwball:Slider      |  1*|     .000     |     .000    |
|9.  Fastball:Screwball:Screwball   |  2*|     .000     |     .000    |
|---------------------------------------------------------------------|
|---------------------------------------------------------------------|
|10.  Slider:Fastball:Fastball      | 10 |     .429     |     .600    |
|11.  Slider:Fastball:Slider        |  4*|     .000     |     .000    |
|12.  Slider:Fastball:Screwball     |  5*|     .000     |     .200    |
|---------------------------------------------------------------------|
|13.  Slider:Slider:Fastball        |  2*|     .500     |     .500    |
|14.  Slider:Slider:Slider          |  2*|     .000     |     .000    |
|15.  Slider:Slider:Screwball       |  1*|     .000     |     .000    |
|---------------------------------------------------------------------|
|16.  Slider:Screwball:Fastball     |  9*|     .111     |     .111    |
|17.  Slider:Screwball:Slider       |  1*|    1.000     |    1.000    |
|18.  Slider:Screwball:Screwball    |  5*|     .200     |     .200    |
|---------------------------------------------------------------------|
|---------------------------------------------------------------------|
|19.  Screwball:Fastball:Fastball   |  7*|     .400     |     .571    |
|20.  Screwball:Fastball:Slider     |  8*|     .286     |     .375    |
|21.  Screwball:Fastball:Screwball  | 14 |     .154     |     .214    |
|---------------------------------------------------------------------|
|22.  Screwball:Slider:Fastball     | 10 |     .111     |     .200    |
|23.  Screwball:Slider:Slider       | 10 |     .000     |     .250    |
|24.  Screwball:Slider:Screwball    |  5*|     .000     |     .400    |
|---------------------------------------------------------------------|
|25.  Screwball:Screwball:Fastball  | 12 |     .182     |     .250    |
|26.  Screwball:Screwball:Slider    |  5*|     .000     |     .200    |
|27.  Screwball:Screwball:Screwball | 21 |     .063     |     .286    |
|---------------------------------------------------------------------|

     When, after (FB:SL), I threw third pitch fastballs, sliders and screwballs, left-handed pull hitters batted .000*, ---- and .000*, respectively.   Therefore, I should more frequently throw the (FB:SL:FB) and (FB:SL:Sc) three pitch sequences.   I should also throw the (FB:Sc:FB), (FB:Sc:SL) and (FB:Sc:Sc) three pitch sequences.

     When, after (SL:Sc), I threw third pitch fastballs, sliders and screwballs, left-handed pull hitters batted .111*, 1.000* and .200*, respectively.   Therefore, I should more frequently throw the (SL:Sc:FB) three pitch sequence.

     When, after (Sc:SL), I threw third pitch fastballs, sliders and screwballs, left-handed pull hitters batted .111, .000 and .000*, respectively.   Therefore, I should throw the (Sc:SL:FB), (Sc:SL:SL) and (Sc:SL:Sc) three pitch sequences.

                    Table 26.12:   Good Left-Handed Pull Hitter Three Pitch Sequences
|---------------------------------------------------------------------|
| 1st, 2nd and 3rd Pitch Selections | #  | Batting Ave  |  On Base %  |
|---------------------------------------------------------------------|
|01.  Slider:Fastball:Screwball     |  5*|     .000     |     .200    |
|02.  Slider:Screwball:Fastball     |  9*|     .111     |     .111    |
|03.  Slider:Screwball:Screwball    |  5*|     .200     |     .200    |
|---------------------------------------------------------------------|
|04.  Screwball:Fastball:Screwball  | 14 |     .154     |     .214    |
|05.  Screwball:Slider:Fastball     | 10 |     .111     |     .200    |
|06.  Screwball:Slider:Slider       | 10 |     .000     |     .200    |
|07.  Screwball:Screwball:Fastball  | 12 |     .182     |     .250    |
|08.  Screwball:Screwball:Slider    |  5*|     .000     |     .200    |
|09.  Screwball:Screwball:Screwball | 21 |     .063     |     .286    |
|---------------------------------------------------------------------|
         c.   Right-Handed Spray Hitters

                    Table 26.13:   Right-Handed Spray Hitter One Pitch At Bats
                 |----------------------------------------------------|
                 |    Fastball     |     Slider      |    Screwball   |
|---------------------------------------------------------------------|
|1 Pitch At Bats |      .326       |      .318       |      .375      |
|---------------------------------------------------------------------|

     When right-handed spray hitters correctly anticipated first pitch fastballs, sliders and screwballs, they batted .326, .318 and .375, respectively.   Therefore, I must develop additional pitches that would be effective against right-handed spray hitters.

                    Table 26.14:   Right-Handed Spray Hitter One Pitch Sequence
                 |----------------------------------------------------|
                 |    Fastball     |     Slider      |    Screwball   |
|---------------------------------------------------------------------|
|1st Pitches     |      .289       |      .242       |      .276      |
|---------------------------------------------------------------------|

     When right-handed spray hitters did not correctly anticipate first pitch fastballs, sliders and screwballs, they batted .289, .242 and .276, respectively.   Therefore, even when right-handed spray hitters do not anticipate first pitches, they achieve unacceptably high batting averages.   Consequently, I need additional pitches that would be effective against right-handed spray hitters.

                    Table 26.15:   Right-Handed Spray Hitter Two At Bats
                 |----------------------------------------------------|
                 |    Fastball     |     Slider      |    Screwball   |
                 |----------------------------------------------------|
                 | FB  | SL  | Sc  | FB  | SL  | Sc  | FB  | SL  | Sc |
|---------------------------------------------------------------------|
|2 Pitch At Bats |.345 |.286 |.222*|.333*|.167*|.429*|.400 |.375 |.200|
|---------------------------------------------------------------------|

     When, after first pitch fastballs, right-handed spray hitters correctly anticipated second pitch fastballs, sliders and screwballs, they batted .345, .286 and .222*, respectively.   Therefore, after first pitch fastballs, I should throw second pitch screwballs.

     When, after first pitch sliders, right-handed spray hitters correctly anticipated second pitch fastballs, sliders and screwballs, they batted .333*, .167* and .429*, respectively.   Therefore, after first pitch sliders, I should throw second pitch sliders.

     When, after first pitch screwballs, right-handed spray hitters correctly anticipated second pitch fastballs, sliders and screwballs, they batted .400, .375 and .200, respectively.   Therefore, after first pitch screwballs, I should throw second pitch screwballs.

                    Table 26.16:   Right-Handed Spray Hitter Two Pitch Sequences
                 |----------------------------------------------------|
                 |    Fastball     |     Slider      |    Screwball   |
|                | FB  | SL  | Sc  | FB  | SL  | Sc  | FB  | SL  | Sc |
|---------------------------------------------------------------------|
|1st/2nd Pitches |.413 |.107 |.080 |.314 |.286 |.071 |.259 |.308 |.234|
|---------------------------------------------------------------------|

     When, after first pitch fastballs, right-handed spray hitters did not correctly anticipate second pitch fastballs, sliders and screwballs, they batted .413, .107 and .080, respectively.   Therefore, after first pitch fastballs, I should throw second pitch screwballs.   The two pitch at bat results concur.   To confirm, I need to examine the (FB:Sc) first and second pitch selections in the three pitch sequences.

     When, after first pitch sliders, right-handed spray hitters did not correctly anticipate second pitch fastballs, sliders and screwballs, they batted .314, .286 and .071, respectively.   Therefore, after first pitch sliders, I should throw second pitch screwballs.   However, the two pitch at bat results indicate that, after first pitch sliders, I should throw second pitch sliders (.167*).   To resolve this confusion, I need to examine the (SL:Sc) and (SL:SL) first and second pitch selections in the three pitch sequences.

     When, after first pitch screwballs, right-handed spray hitters did not correctly anticipate second pitch fastballs, sliders and screwballs, they batted .259, .308 and .234, respectively.   Therefore, after first pitch screwballs, I should throw second pitch screwballs.   The two pitch at bat results concur.   To confirm, I need to examine the (Sc:Sc) first and second pitches in the three pitch sequences.

                    Table 26.17:   Right-Handed Spray Hitter Three Pitch Sequences
|---------------------------------------------------------------------|
| 1st, 2nd and 3rd Pitch Selections | #  | Batting Ave  |  On Base %  |
|---------------------------------------------------------------------|
|1.  Fastball:Fastball:Fastball     | 37 |     .414     |     .500    |
|2.  Fastball:Fastball:Slider       | 12 |     .400     |     .500    |
|3.  Fastball:Fastball:Screwball    |  7*|     .429     |     .429    |
|---------------------------------------------------------------------|
|4.  Fastball:Slider:Fastball       | 10 |     .222     |     .300    |
|5.  Fastball:Slider:Slider         |  7*|     .143     |     .143    |
|6.  Fastball:Slider:Screwball      | 14 |     .077     |     .143    |
|---------------------------------------------------------------------|
|7.  Fastball:Screwball:Fastball    | 11 |     .000     |     .000    |
|8.  Fastball:Screwball:Slider      |  4*|     .250     |     .250    |
|9.  Fastball:Screwball:Screwball   | 12 |     .100     |     .250    |
|---------------------------------------------------------------------|
|---------------------------------------------------------------------|
|10.  Slider:Fastball:Fastball      | 17 |     .200     |     .294    |
|11.  Slider:Fastball:Slider        |  7*|     .200     |     .429    |
|12.  Slider:Fastball:Screwball     | 15 |     .467     |     .467    |
|---------------------------------------------------------------------|
|13.  Slider:Slider:Fastball        |  5*|    1.000     |    1.000    |
|14.  Slider:Slider:Slider          |  6*|     .000     |     .333    |
|15.  Slider:Slider:Screwball       |  2*|     .000     |     .000    |
|---------------------------------------------------------------------|
|16.  Slider:Screwball:Fastball     | 14 |     .071     |     .071    |
|17.  Slider:Screwball:Slider       |  1*|     .000     |     .000    |
|18.  Slider:Screwball:Screwball    |  3*|     .000     |     .077    |
|---------------------------------------------------------------------|
|---------------------------------------------------------------------|
|19.  Screwball:Fastball:Fastball   | 24 |     .235     |     .435    |
|20.  Screwball:Fastball:Slider     | 31 |     .296     |     .387    |
|21.  Screwball:Fastball:Screwball  | 16 |     .231     |     .375    |
|---------------------------------------------------------------------|
|22.  Screwball:Slider:Fastball     | 20 |     .353     |     .450    |
|23.  Screwball:Slider:Slider       |  6*|     .167     |     .167    |
|24.  Screwball:Slider:Screwball    |  4*|     .333     |     .500    |
|---------------------------------------------------------------------|
|25.  Screwball:Screwball:Fastball  | 26 |     .192     |     .192    |
|26.  Screwball:Screwball:Slider    |  6*|     .400     |     .500    |
|27.  Screwball:Screwball:Screwball | 36 |     .242     |     .306    |
|---------------------------------------------------------------------|

     When, after (FB:Sc), I threw third pitch fastballs, sliders and screwballs, right-handed spray hitters batted .000, .250* and .100, respectively.   Therefore, I should more frequently throw the (FB:Sc:FB) and (FB:Sc:Sc) three pitch sequences.

     When, after (SL:Sc), I threw third pitch fastballs, sliders and screwballs, right-handed spray hitters batted .071, .000* and .000*, respectively.   Therefore, I should more frequently throw the (SL:Sc:FB), (SL:Sc:SL) and (SL:Sc:Sc) three pitch sequences.

     When, after (Sc:Sc), I threw third pitch fastballs, sliders and screwballs, right-handed spray hitters batted .192, .400* and .242, respectively.   Therefore, I should more frequently throw the (Sc:Sc:FB) three pitch sequence.

                    Table 26.18:   Good Right-Handed Spray Hitter Three Pitch Sequences
|---------------------------------------------------------------------|
| 1st, 2nd and 3rd Pitch Selections | #  | Batting Ave  |  On Base %  |
|---------------------------------------------------------------------|
|01.  Fastball:Slider:Slider        |  7*|     .143     |     .143    |
|02.  Fastball:Slider:Screwball     | 14 |     .077     |     .143    |
|03.  Fastball:Screwball:Fastball   | 11 |     .000     |     .000    |
|04.  Fastball:Screwball:Screwball  | 12 |     .100     |     .250    |
|---------------------------------------------------------------------|
|05.  Slider:Fastball:Fastball      | 17 |     .200     |     .294    |
|06.  Slider:Slider:Slider          |  6*|     .000     |     .333    |
|07.  Slider:Screwball:Fastball     | 14 |     .071     |     .071    |
|---------------------------------------------------------------------|
|08.  Screwball:Slider:Slider       |  6*|     .167     |     .167    |
|09.  Screwball:Screwball:Fastball  | 26 |     .192     |     .192    |
|---------------------------------------------------------------------|
         d.   Right-Handed Pull Hitters

                    Table 26.19:   Right-Handed Pull Hitter One Pitch At Bats
                 |----------------------------------------------------|
                 |    Fastball     |     Slider      |    Screwball   |
|---------------------------------------------------------------------|
|1 Pitch At Bats |      .417       |      .235       |      .500      |
|---------------------------------------------------------------------|

     When right-handed pull hitters correctly anticipated first pitch fastballs, sliders and screwballs, they batted .417, .235 and .500, respectively.   Therefore, I should throw first pitch sliders.

                    Table 26.20:   Right-Handed Pull Hitter One Pitch Sequence
                 |----------------------------------------------------|
                 |    Fastball     |     Slider      |    Screwball   |
|---------------------------------------------------------------------|
|1st Pitch Select|      .152       |      .086       |      .203      |
|---------------------------------------------------------------------|

     When right-handed pull hitters did not correctly anticipate first pitch fastballs, sliders and screwballs, they batted .152, .086 and .203, respectively.   Therefore, I must throw first pitches that right-handed pull hitters do not correctly anticipate.

                    Table 26.21:   Right-Handed Pull Hitter Two Pitch At Bats
                 |----------------------------------------------------|
                 |    Fastball     |     Slider      |    Screwball   |
                 | FB  | SL  | Sc  | FB  | SL  | Sc  | FB |  SL | Sc  |
|---------------------------------------------------------------------|
|2 Pitch At Bats |.167*|.333*| --- |.000*|1.00*| --- |.308|.000*|.444*|
|---------------------------------------------------------------------|

     With insufficient sample sizes, I cannot interpret the right-handed pull hitter two pitch at bat data.

                    Table 26.22:   Right-Handed Pull Hitter Two Pitch Sequences
                 |----------------------------------------------------|
                 |    Fastball     |     Slider      |    Screwball   |
                 | FB  | SL  | Sc  | FB  | SL  | Sc  | FB  | SL  | Sc |
|---------------------------------------------------------------------|
|1st/2nd Pitches |.133 |.143 |.083 |.118 |.100 |.000*|.111 |.348 |.135|
|---------------------------------------------------------------------|

     When, after first pitch fastballs, right-handed pull hitters do not correctly anticipate second pitch fastballs, sliders and screwballs, they batted .133, .143 and .083, respectively.   Therefore, after first pitch fastballs, I should throw second pitch screwballs.   Also, after first pitch fastballs, second pitch fastballs and sliders produced great results.   To determine the best second pitch selection after first pitch fastballs, I need to examine the three pitch sequences.

     When, after first pitch sliders, right-handed pull hitters do not correctly anticipate second pitch fastballs, sliders and screwballs, they batted .118, .100 and .000*, respectively.   Therefore, after first pitch sliders, I should throw second pitch screwballs.   Also, after first pitch sliders, second pitch sliders and fastballs produced great results.   To determine the best second pitch selection after first pitch sliders, I need to examine the three pitch sequences.

     When, after first pitch screwballs, right-handed pull hitters did not correctly anticipate second pitch fastballs, sliders and screwballs, they batted .111, .348 and .135, respectively.   Therefore, after first pitch screwballs, I should throw second pitch fastballs.   Also, after first pitch screwballs, second pitch screwballs produced geat results.   To determine the better second pitch selection after first pitch screwballs, I need to examine the three pitch sequences.

                    Table 26.23:   Right-Handed Pull Hitter Three Pitch Sequences
|---------------------------------------------------------------------|
| 1st, 2nd and 3rd Pitch Selections | #  | Batting Ave  |  On Base %  |
|---------------------------------------------------------------------|
|1.  Fastball:Fastball:Fastball     |  7*|     .000     |     .333    |
|2.  Fastball:Fastball:Slider       |  8*|     .143     |     .250    |
|3.  Fastball:Fastball:Screwball    |  4*|     .250     |     .250    |
|---------------------------------------------------------------------|
|4.  Fastball:Slider:Fastball       |  5*|     .000     |     .400    |
|5.  Fastball:Slider:Slider         |  1*|     .000     |     .000    |
|6.  Fastball:Slider:Screwball      |  6*|     .333     |     .667    |
|---------------------------------------------------------------------|
|7.  Fastball:Screwball:Fastball    |  4*|     .000     |     .000    |
|8.  Fastball:Screwball:Slider      |  6*|     .000     |     .000    |
|9.  Fastball:Screwball:Screwball   |  3*|     .500     |     .667    |
|---------------------------------------------------------------------|
|---------------------------------------------------------------------|
|10.  Slider:Fastball:Fastball      |  7*|     .167     |     .286    |
|11.  Slider:Fastball:Slider        |  5*|     .200     |     .200    |
|12.  Slider:Fastball:Screwball     |  7*|     .000     |     .143    |
|---------------------------------------------------------------------|
|13.  Slider:Slider:Fastball        |  2*|     .000     |     .000    |
|14.  Slider:Slider:Slider          |  4*|     .250     |     .250    |
|15.  Slider:Slider:Screwball       |  4*|     .000     |     .000    |
|---------------------------------------------------------------------|
|16.  Slider:Screwball:Fastball     |  3*|     .000     |     .000    |
|17.  Slider:Screwball:Slider       |  1*|     .000     |     .000    |
|18.  Slider:Screwball:Screwball    |  4*|     .000     |     .500    |
|---------------------------------------------------------------------|
|---------------------------------------------------------------------|
|19.  Screwball:Fastball:Fastball   | 13 |     .091     |     .231    |
|20.  Screwball:Fastball:Slider     | 14 |     .071     |     .071    |
|21.  Screwball:Fastball:Screwball  | 14 |     .182     |     .357    |
|---------------------------------------------------------------------|
|22.  Screwball:Slider:Fastball     | 14 |     .385     |     .385    |
|23.  Screwball:Slider:Slider       |  5*|     .400     |     .400    |
|24.  Screwball:Slider:Screwball    |  5*|     .200     |     .200    |
|---------------------------------------------------------------------|
|25.  Screwball:Screwball:Fastball  | 13 |     .181     |     .308    |
|26.  Screwball:Screwball:Slider    |  7*|     .143     |     .143    |
|27.  Screwball:Screwball:Screwball | 23 |     .105     |     .261    |
|---------------------------------------------------------------------|

     When, after (FB:Sc), I threw third pitch fastballs, sliders and screwballs, right-handed pull hitters batted .000*, 000* and .500*, respectively.   Therefore, I should more frequently throw the (FB:Sc:FB) and (FB:Sc:SL) three pitch sequences.

     When, after (SL:Sc), I threw third pitch fastballs, sliders and screwballs, right-handed pull hitters batted .000*, .000* and .000*, respectively.   Therefore, I should more frequently throw the (SL:Sc:FB), (SL:Sc:SL) and (SL:Sc:Sc) three pitch sequences.

     When, after (Sc:FB), I threw third pitch fastballs, sliders and screwballs, right-handed pull hitters batted .091, .071 and .182, respectively.   Therefore, I should more frequently throw the (Sc:FB:SL), (Sc:FB:SL) and (Sc:FB:Sc) three pitch sequences.

                    Table 26.24:   Good Right-Handed Pull Hitter Three Pitch Sequences
|---------------------------------------------------------------------|
| 1st, 2nd and 3rd Pitch Selections | #  | Batting Ave  |  On Base %  |
|---------------------------------------------------------------------|
|01.  Fastball:Fastball:Slider      |  8*|     .143     |     .250    |
|02.  Fastball:Screwball:Slider     |  6*|     .000     |     .000    |
|---------------------------------------------------------------------|
|03.  Slider:Fastball:Fastball      |  7*|     .167     |     .286    |
|04.  Slider:Fastball:Slider        |  5*|     .200     |     .200    |
|05.  Slider:Fastball:Screwball     |  7*|     .000     |     .143    |
|---------------------------------------------------------------------|
|06.  Screwball:Fastball:Fastball   | 13 |     .091     |     .231    |
|07.  Screwball:Fastball:Slider     | 14 |     .071     |     .071    |
|08.  Screwball:Slider:Screwball    |  5*|     .200     |     .200    |
|09.  Screwball:Screwball:Slider    |  7*|     .143     |     .143    |
|10.  Screwball:Screwball:Screwball | 23 |     .105     |     .261    |
|---------------------------------------------------------------------|


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